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Finding the Third Proportional to 22,471.17 and 49,170.16

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Solution

The third proportional to 22,471.17 and 49,170.16 is: 107,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.17 : 49,170.16 = 49,170.16 : x
  2. Step 2: Convert to fraction form
    22,471.17/49,170.16 = 49,170.16/x
  3. Step 3: Cross multiply
    22,471.17x = 49,170.16 × 49,170.16
  4. Step 4: Simplify right side
    22,471.17x = 2,417,705,033.93
  5. Step 5: Solve for x
    x = 2,417,705,033.93/22,471.17
  6. Step 6: Final answer
    x = 107,591.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.